SOLUTION: The sum of three consecutive integers is 969. What are the integers?

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Question 13336: The sum of three consecutive integers is 969. What are the integers?
Answer by akmb1215(68) About Me  (Show Source):
You can put this solution on YOUR website!
You should first name the consecutive integers with variables. Since you don't want more than one variable, you should link them all together. I am going to call the first integer N. The second one, since it is consecutive, is N+1. The third one is N+2 (if you have a hard time thinking of this, think of the numbers 1, 2, and 3. If 1 is N, you add one to it to get 2...then you add two to 1 to get 3).
Added together, the sum is 969...so your equation is N+%2B+N+%2B+1+%2B+N+%2B+2+=+969. To solve, combine like terms to get 3N+%2B+3+=+969. Then solve the equation to get
3N+=+966
N+=+322
The three consecutive integers are 322, 323, and 324.